On the family of diophantine triples .

Filipin, Alan; Togbé, Alain

Displaying similar documents to “On the family of diophantine triples ${k + 2, 4 k, 9 k + 6}$ .”

On the positive integral solutions of the Diophantine equation $x^{3} + b y + 1 - x y z = 0$ .

Luca, Florian, Togbé, Alain (2008)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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On the Diophantine equations of type $a^{x} + b^{y} = c^{z}$ .

Acu, Dumitru (2005)

General Mathematics

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Variants of the Brocard-Ramanujan equation

Omar Kihel, Florian Luca (2008)

Journal de Théorie des Nombres de Bordeaux

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In this paper, we discuss variations on the Brocard-Ramanujan Diophantine equation.

Some Diophantine equations of the form $a x^{2} + p x y + b y^{2} = z^{k^{n}}$ .

Andrica, Dorin, Tudor, Gheorghe M. (2005)

General Mathematics

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A simple criterion for solvability of both $X^{2} - D Y^{2} = c$ and $x^{2} - D y^{2} = - c$ .

Mollin, R.A. (2001)

The New York Journal of Mathematics [electronic only]

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A note on the equation ${(x + y + z)}^{2} = x y z$ .

Andreescu, Titu (2002)

General Mathematics

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On a class of combinatorial Diophantine equations.

Kirschenhofer, Peter, Pfeiffer, Oliver (2000)

Séminaire Lotharingien de Combinatoire [electronic only]

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Diophantine approximation and special Liouville numbers

Johannes Schleischitz (2013)

Communications in Mathematics

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This paper introduces some methods to determine the simultaneous approximation constants of a class of well approximable numbers $ζ_{1}, ζ_{2}, ..., ζ_{k}$ . The approach relies on results on the connection between the set of all $s$ -adic expansions ( $s \geq 2$ ) of $ζ_{1}, ζ_{2}, ..., ζ_{k}$ and their associated approximation constants. As an application, explicit construction of real numbers $ζ_{1}, ζ_{2}, ..., ζ_{k}$ with prescribed approximation properties are deduced and illustrated by Matlab plots.

Linear forms of a given Diophantine type

Oleg N. German, Nikolay G. Moshchevitin (2010)

Journal de Théorie des Nombres de Bordeaux

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We prove a result on the existence of linear forms of a given Diophantine type.

Displaying similar documents to “On the family of diophantine triples { k + 2 , 4 k , 9 k + 6 } .”

Displaying similar documents to “On the family of diophantine triples ${k + 2, 4 k, 9 k + 6}$ .”